55764640 has 48 divisors (see below), whose sum is σ = 132596352. Its totient is φ = 22161664.

The previous prime is 55764623. The next prime is 55764649. The reversal of 55764640 is 4646755.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55764640.

It is not an unprimeable number, because it can be changed into a prime (55764649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25677 + ... + 27763.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 2^55764640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298176).

55764640 is an abundant number, since it is smaller than the sum of its proper divisors (76831712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55764640 is a wasteful number, since it uses less digits than its factorization.

55764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 55764640 is about 7467.5725640934. The cubic root of 55764640 is about 382.0494988077.

The spelling of 55764640 in words is "fifty-five million, seven hundred sixty-four thousand, six hundred forty".